Robust Design Based on Grey Correlation Analysis

2013 ◽  
Vol 401-403 ◽  
pp. 272-275
Author(s):  
Lian Xue ◽  
Le Le Dong
Keyword(s):  
System Theory ◽  
Robust Design ◽  
Quality Characteristics ◽  
Grey System Theory ◽  
Grey System ◽  
Grey Correlation ◽  
Multiple Quality Characteristics ◽  
Grey Correlation Analysis ◽  
Best Parameter ◽  
The Stability

In this article, the grey correlation is regarded as the decision index of Multiple Quality Characteristics of the Robust designed by the grey system theory. Then using the Analysis of variance to get the factors of Significantly affecting the stability and the best parameter. At last advantage of the method is proved by examples. It proves that grey system theory in robust design is practical greatly.

Research on Factors Influence of Vegetation Slope Protection Based on Grey Incidence Analysis Theory

2012 ◽  
Vol 226-228 ◽  
pp. 1382-1385
Author(s):  
Feng Chen ◽  
Xiao Bo Xiong ◽  
Zhi Ming Zhai ◽  
Cheng Gu ◽  
Xin Bo Zhang
Keyword(s):  
System Theory ◽  
Grey System Theory ◽  
Good Prospect ◽  
Grey Theory ◽  
Grey System ◽  
Grey Incidence Analysis ◽  
The Stability ◽  
Incidence Analysis ◽  
The Impact ◽  
Bio Engineering

Vegetation Slope Protection Engineering was affected by several factors, and has become the focus of the geotechnical engineering. The stability of the vegetation slope must be controlled rigorous according to the surrounding environment condition and safety level of the slope in highway. According to the Grey Incidence Analysis (GIA) method of grey system theory, a new grey theory model is applied in analyzing of the characteristics of Eco-engineering protected by roots of vegetation, to attain the correlation coefficient affected by extent of the factors. After analysis of several practical Bio-engineering examples, to attain the most influencing factors of the stability of vegetation slope are the density of roots (ρ), the length of roots (L), the diameter of roots (D), the weight of soil (γ), the anti-pulling force of roots (P), internal friction angle (φ), cohesive strength(c) and the shear strength of the soil (τ). The role of factors is classified in order to define the extent of the impact and provide guidance for construction and design of Eco-engineering. After analyzing the data collected from the field and several classicistic documents, utilized Grey Incidence Analysis method to make prediction in order to guarantee the slope safety. It shows that the grey system theory can be effectively and practically adopted in the slope stability analysis of vegetation slope in expressway and that has a good prospect.

Prediction of Low Flow Years in the Upstream of Zhang River Based on Improved Gray Model

2014 ◽  
Vol 1051 ◽  
pp. 439-443
Author(s):  
Ling Ling Shao ◽  
Wen Juan Niu ◽  
Fan Tang ◽  
Chao Lin
Keyword(s):  
System Theory ◽  
Sustainable Development ◽  
Original Data ◽  
Grey System Theory ◽  
Low Flow ◽  
Data Series ◽  
Gray Model ◽  
Grey System ◽  
Reasonable Prediction ◽  
The Stability

A reasonable prediction of low flow years in a region in the future so as to make deployment in advance is related to the stability of the region. This paper established conventional GM (1,1) model and improved GM (1,1) model based on grey system theory to predict low flow years in the upstream of Zhang River which has gray characteristics so as to avoid risks, improve spatial and temporal allocation of water resources and promote sustainable development of the basin. The research shows that improved GM (1,1) model which can improve the smoothness of the original data series provides a more accurate prediction than conventional GM (1,1) model by using the example of Zhuozhang River tributary in the Upstream of Zhang River.

Prediction of Technical Reserves Based on Grey Model — GM(1,1): Evidence from Non-life Egyptian Insurance Market

2019 ◽  
Vol 10 (9) ◽  
pp. 852-860
Author(s):  
Mahmoud Elsayed ◽  
◽  
Amr Soliman ◽  
Keyword(s):  
System Theory ◽  
Grey System Theory ◽  
Insurance Market ◽  
Grey Model ◽  
Loss Ratio ◽  
Grey System ◽  
Mathematical Technique ◽  
Supervisory Authority ◽  
Error Ratio ◽  
Using Data

Grey system theory is a mathematical technique used to predict data with known and unknown characteristics. The aim of our research is to forecast the future amount of technical reserves (outstanding claims reserve, loss ratio fluctuations reserve and unearned premiums reserve) up to 2029/2030. This study applies the Grey Model GM(1,1) using data obtained from the Egyptian Financial Supervisory Authority (EFSA) over the period from 2005/2006 to 2015/2016 for non-life Egyptian insurance market. We found that the predicted amounts of outstanding claims reserve and loss ratio fluctuations reserve are highly significant than the unearned premiums reserve according to the value of Posterior Error Ratio (PER).

Application of Grey System Theory to tree growth prediction

2000 ◽  
Vol 11 (1) ◽  
pp. 34-36 ◽  
Author(s):  
Wang Jing ◽  
Hou Yuesong ◽  
Li Weilin ◽  
Cheng Wenhui
Keyword(s):  
System Theory ◽  
Tree Growth ◽  
Grey System Theory ◽  
Grey System ◽  
Growth Prediction

Grey-based model for forecasting Mauritius international tourism from different regions

2017 ◽  
Vol 7 (2) ◽  
pp. 259-271 ◽  
Author(s):  
Medha Pirthee
Keyword(s):  
System Theory ◽  
Grey System Theory ◽  
International Tourism ◽  
Grey System ◽  
Private Companies ◽  
Content Type ◽  
System Models ◽  
Economic Decision Making ◽  
Tourism Sector ◽  
The Government

Purpose The purpose of this paper is to understand the trend and forecast the number of tourists from different regions of the world to Mauritius. Design/methodology/approach The paper adopts two grey system models, the even model GM(1,1) and the non-homogeneous discrete grey model (NDGM), to forecast the total number of international tourism to Mauritius and its structure from different regions tourist arrivals to Mauritius for the next three years. Grey system theory models were used to account for uncertainties and the dynamism of the tourism sector environment. The two models were applied as a comparison to obtain more reliable forecasting figures. Findings The results demonstrate that both of the grey system models can be successfully applied with high accuracy for Mauritian tourism prediction, and also the number of tourist arrivals to Mauritius shows a continued augmentation for the upcoming years. Practical implications Forecasting is meaningful since the Government of Mauritius, private companies or any concerned authority can adopt the forecasting methods exposed in this paper for the development of the tourism sector through managerial and economic decision making. Originality/value Mauritius is a charming travel destination. Through this paper, it can be seen that future tourism travel to Mauritius has been successfully predicted based on previous data. Moreover, it seems that the grey system theory models have not been utilised yet as forecasting tools for the tourism sector of Mauritius as opposed to other countries such as China and Taiwan.

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